On safe crack shapes in elastic bodies

DOI10.1016/S0997-7538(02)01242-1zbMath1027.74059OpenAlexW2016645680MaRDI QIDQ1870708

Dietmar Hömberg, Alexandr Mikhailovich Khludnev

Publication date: 14 May 2003

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7538(02)01242-1

zbMATH Keywords

energy functionalcrack propagationGriffith criterionoptimality problemShape derivativeNonlinear cracknonpenetration conditions

Mathematics Subject Classification ID

Brittle fracture (74R10) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items (5)

Crack growth control based on the topological derivative of the Rice's integral ⋮ Shape optimization of rigid inclusions for elastic plates with cracks ⋮ Shape control of thin rigid inclusions and cracks in elastic bodies ⋮ Optimal control of inclusion and crack shapes in elastic bodies ⋮ Optimal rigid inclusion shapes in elastic bodies with cracks

Cites Work

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• Modelling and control in solid mechanics
• Elliptic boundary value problems on corner domains. Smoothness and asymptotics of solutions
• On variations in the solutions of integro-differential equations of mixed problems of elasticity theory for domain variations
• On derivative of energy functional for elastic bodies with cracks and unilateral conditions

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